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<div class="title">qwt_spline_basis.cpp</div>  </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/******************************************************************************</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * Qwt Widget Library</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * Copyright (C) 1997   Josef Wilgen</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * Copyright (C) 2002   Uwe Rathmann</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> * This library is free software; you can redistribute it and/or</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> * modify it under the terms of the Qwt License, Version 1.0</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> *****************************************************************************/</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &quot;qwt_spline_basis.h&quot;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &quot;qwt_spline_parametrization.h&quot;</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;qpainterpath.h&gt;</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160; </div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#if 0</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">static</span> QPolygonF qwtBasisUniformKnots( <span class="keyword">const</span> QPolygonF&amp; points )</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;{</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160; </div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keywordflow">if</span> ( n &lt; 3 )</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        <span class="keywordflow">return</span> points;</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160; </div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a> u( n - 2 );</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a> kx( n - 2 );</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a> ky( n - 2 );</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160; </div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    u[n - 3] = 4.0;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    kx[n - 3] = 6.0 * points[n - 2].x() - points[n - 1].x();</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    ky[n - 3] = 6.0 * points[n - 2].y() - points[n - 1].y();</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = n - 4; i &gt;= 0; i-- )</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    {</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        u[i] = 4.0 - 1.0 / u[i + 1];</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        kx[i] = 6.0 * points[i + 1].x() - kx[i + 1] / u[i + 1];</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        ky[i] = 6.0 * points[i + 1].y() - ky[i + 1] / u[i + 1];</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    }</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160; </div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <a class="code" href="class_q_vector.html">QVector&lt; QPointF &gt;</a> knots( n );</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160; </div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    knots[0] = points[0];</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160; </div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 1; i &lt; n - 1; i++ )</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    {</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        knots[i].rx() = ( kx[i - 1] - knots[i - 1].x() ) / u[i - 1];</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        knots[i].ry() = ( ky[i - 1] - knots[i - 1].y() ) / u[i - 1];</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    }</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160; </div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    knots[n - 1] = points[n - 1];</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160; </div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <span class="keywordflow">return</span> knots;</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;}</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160; </div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="preprocessor">#if 0</span></div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> qwtSplineBezierControlPoints( <span class="keyword">const</span> <a class="code" href="class_qwt_spline_parametrization.html">QwtSplineParametrization</a>* param,</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    <span class="keyword">const</span> QPointF&amp; p1, <span class="keyword">const</span> QPointF&amp; p2, <span class="keyword">const</span> QPointF&amp; p3, <span class="keyword">const</span> QPointF&amp; p4,</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    QPointF&amp; cp1, QPointF&amp; cp2 )</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;{</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> t1 = param-&gt;<a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( p1, p2 );</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> t2 = param-&gt;<a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( p2, p3 );</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> t3 = param-&gt;<a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( p3, p4 );</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160; </div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> t123 = t1 + t2 + t3;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160; </div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    cp1 = ( t2 + t3 ) / t123 * p2 + t1 / t123 * p3;</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    cp2 = ( t3 * p2 + ( t1 + t2 ) * p3 ) / t123;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;}</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160; </div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;<span class="keyword">static</span> QPainterPath qwtSplineBasisPathUniform( <span class="keyword">const</span> QPolygonF&amp; points,</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128">QwtSpline::BoundaryType</a> boundaryType )</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;{</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    <span class="keyword">const</span> QPointF* pd = points.constData();</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160; </div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    QPainterPath path;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160; </div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    QPointF cp1 = ( 2.0 * pd[0] + pd[1] ) / 3.0;;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160; </div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a> )</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    {</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        path.moveTo( pd[0] );</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    }</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    {</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keyword">const</span> QPointF cpN = ( pd[n - 1] + 2.0 * pd[0] ) / 3.0;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        path.moveTo( 0.5 * ( cpN + cp1 ) );</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    }</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160; </div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 1; i &lt; n - 1; i++ )</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    {</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keyword">const</span> QPointF cp2 = ( pd[i - 1] + 2.0 * pd[i] ) / 3.0;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keyword">const</span> QPointF cp3 = ( 2.0 * pd[i] + pd[i + 1] ) / 3.0;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160; </div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        path.cubicTo( cp1, cp2, 0.5 * ( cp2 + cp3 ) );</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160; </div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        cp1 = cp3;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;    }</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160; </div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a> )</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    {</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keyword">const</span> QPointF cp2 = ( pd[n - 2] + 2.0 * pd[n - 1] ) / 3.0;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        path.cubicTo( cp1, cp2, pd[n - 1] );</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    }</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    {</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keyword">const</span> QPointF cp2 = ( pd[n - 2] + 2.0 * pd[n - 1] ) / 3.0;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keyword">const</span> QPointF cp3 = ( 2.0 * pd[n - 1] + pd[0] ) / 3.0;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160; </div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        path.cubicTo( cp1, cp2, 0.5 * ( cp2 + cp3 ) );</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160; </div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1">QwtSpline::ClosedPolygon</a> )</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        {</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;            <span class="keyword">const</span> QPointF cp4 = ( pd[n - 1] + 2.0 * pd[0] ) / 3.0;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;            <span class="keyword">const</span> QPointF cp5 = ( 2.0 * pd[0] + pd[1] ) / 3.0;</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160; </div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;            path.cubicTo( cp3, cp4, 0.5 * ( cp4 + cp5 ) );</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        }</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    }</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160; </div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    <span class="keywordflow">return</span> path;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;}</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160; </div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="keyword">static</span> QPainterPath qwtSplineBasisPath( <span class="keyword">const</span> QPolygonF&amp; points,</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_qwt_spline_parametrization.html">QwtSplineParametrization</a>* param,</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128">QwtSpline::BoundaryType</a> boundaryType )</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;{</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    <span class="keyword">const</span> QPointF* pd = points.constData();</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160; </div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    QPointF p0;</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160; </div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    <span class="keywordtype">double</span> t1 = param-&gt;<a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[0], pd[1] );</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    <span class="keywordtype">double</span> t2 = param-&gt;<a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[1], pd[2] );</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160; </div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    <span class="keywordtype">double</span> t0;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;    <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a> )</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        t0 = t1;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        t0 = param-&gt;<a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[n - 1], pd[0] );</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160; </div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    <span class="keywordtype">double</span> t012 = t0 + t1 + t2;</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    QPointF cp1 = ( ( t1 + t2 ) * pd[0] + t0 * pd[1] ) / t012;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160; </div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a> )</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    {</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        p0 = pd[0];</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    }</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;    {</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">double</span> tN = param-&gt;<a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[n - 2], pd[n - 1] );</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        <span class="keyword">const</span> QPointF cpN = ( t1 * pd[n - 1] + ( tN + t0 ) * pd[0] ) / ( tN + t0 + t1 );</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160; </div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        p0 = ( t1 * cpN + t0 * cp1 ) / ( t0 + t1 );</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    }</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160; </div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    QPainterPath path;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;    path.moveTo( p0 );</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160; </div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;    <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 1; i &lt; n - 2; i++ )</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    {</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">double</span> t3 = param-&gt;<a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[i + 1], pd[i + 2] );</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">double</span> t123 = t1 + t2 + t3;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160; </div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        <span class="keyword">const</span> QPointF cp2 = ( t2 * pd[i - 1] + ( t0 + t1 ) * pd[i] ) / t012;</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;        <span class="keyword">const</span> QPointF cp3 = ( ( t2 + t3 ) * pd[i] + t1 * pd[i + 1] ) / t123;</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160; </div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;        <span class="keyword">const</span> QPointF p2 = ( t2 * cp2 + t1 * cp3 ) / ( t1 + t2 );</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160; </div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        path.cubicTo( cp1, cp2, p2 );</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160; </div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;        cp1 = cp3;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160; </div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;        t0 = t1;</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        t1 = t2;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;        t2 = t3;</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;        t012 = t123;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;    }</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160; </div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    {</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        <span class="keywordtype">double</span> t3;</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;        <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a> )</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;            t3 = t2;</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;            t3 = param-&gt;<a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[n - 1], pd[0] );</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160; </div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">double</span> t123 = t1 + t2 + t3;</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160; </div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;        <span class="keyword">const</span> QPointF cp2 = ( t2 * pd[n - 3] + ( t0 + t1 ) * pd[n - 2] ) / t012;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;        <span class="keyword">const</span> QPointF cp3 = ( ( t2 + t3 ) * pd[n - 2] + t1 * pd[n - 1] ) / t123;</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160; </div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;        <span class="keyword">const</span> QPointF p2 = ( t2 * cp2 + t1 * cp3 ) / ( t1 + t2 );</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160; </div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;        path.cubicTo( cp1, cp2, p2 );</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160; </div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;        cp1 = cp3;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160; </div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;        t0 = t1;</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;        t1 = t2;</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;        t2 = t3;</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;        t012 = t123;</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;    }</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160; </div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;    <span class="keyword">const</span> QPointF cp2 = ( t2 * pd[n - 2] + ( t0 + t1 ) * pd[n - 1] ) / t012;</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160; </div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;    <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a> )</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;    {</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;        path.cubicTo( cp1, cp2, pd[n - 1] );</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;    }</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;    {</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">double</span> t3 = param-&gt;<a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[0], pd[1] );</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">double</span> t123 = t1 + t2 + t3;</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160; </div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;        <span class="keyword">const</span> QPointF cp3 = ( t2 + t3 ) / t123 * pd[n - 1] + t1 / t123 * pd[0];</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;        <span class="keyword">const</span> QPointF cp4 = ( t3 * pd[n - 1] + ( t1 + t2 ) * pd[0] ) / t123;</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160; </div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;        <span class="keyword">const</span> QPointF pN = ( t2 * cp2 + t1 * cp3 ) / ( t1 + t2 );</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160; </div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;        path.cubicTo( cp1, cp2, pN );</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;        path.cubicTo( cp3, cp4, p0 );</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;    }</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160; </div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;    <span class="keywordflow">return</span> path;</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;}</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160; </div>
<div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="class_qwt_spline_basis.html#a84187686884d133830ea4c94fd57ff17">  227</a></span>&#160;<a class="code" href="class_qwt_spline_basis.html#a84187686884d133830ea4c94fd57ff17">QwtSplineBasis::QwtSplineBasis</a>()</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;{</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;}</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160; </div>
<div class="line"><a name="l00232"></a><span class="lineno"><a class="line" href="class_qwt_spline_basis.html#a623c89b2080e099bac2c39c0418bfa84">  232</a></span>&#160;<a class="code" href="class_qwt_spline_basis.html#a623c89b2080e099bac2c39c0418bfa84">QwtSplineBasis::~QwtSplineBasis</a>()</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;{</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;}</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160; </div>
<div class="line"><a name="l00237"></a><span class="lineno"><a class="line" href="class_qwt_spline_basis.html#a1eeb7e3edab36759d523613bb80c69db">  237</a></span>&#160;uint <a class="code" href="class_qwt_spline_basis.html#a1eeb7e3edab36759d523613bb80c69db">QwtSplineBasis::locality</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;    <span class="keywordflow">return</span> 2;</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;}</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160; </div>
<div class="line"><a name="l00249"></a><span class="lineno"><a class="line" href="class_qwt_spline_basis.html#af6be32c8dbfb01f1110504d949088b3b">  249</a></span>&#160;QPainterPath <a class="code" href="class_qwt_spline_basis.html#af6be32c8dbfb01f1110504d949088b3b">QwtSplineBasis::painterPath</a>( <span class="keyword">const</span> QPolygonF&amp; points )<span class="keyword"> const</span></div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;    <span class="keywordflow">if</span> ( points.size() &lt; 4 )</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;        <span class="keywordflow">return</span> QPainterPath();</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160; </div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;    QPainterPath path;</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160; </div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;    <span class="keywordflow">switch</span>( <a class="code" href="class_qwt_spline.html#a6aa6f2c0b844e6a27284aa474c6bca7b">parametrization</a>()-&gt;type() )</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;    {</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;        <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48daa34d8f54e326e8964c6131287dd3e478">QwtSplineParametrization::ParameterUniform</a>:</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;        {</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;            path = qwtSplineBasisPathUniform( points, <a class="code" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType</a>() );</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;        }</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;        <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;        {</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;            path = qwtSplineBasisPath( points, <a class="code" href="class_qwt_spline.html#a6aa6f2c0b844e6a27284aa474c6bca7b">parametrization</a>(), <a class="code" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType</a>() );</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;        }</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;    }</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160; </div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;    <span class="keywordflow">return</span> path;</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;}</div>
<div class="ttc" id="aclass_q_vector_html"><div class="ttname"><a href="class_q_vector.html">QVector&lt; double &gt;</a></div></div>
<div class="ttc" id="aclass_qwt_spline_basis_html_a1eeb7e3edab36759d523613bb80c69db"><div class="ttname"><a href="class_qwt_spline_basis.html#a1eeb7e3edab36759d523613bb80c69db">QwtSplineBasis::locality</a></div><div class="ttdeci">virtual uint locality() const override</div><div class="ttdoc">The locality is always 2.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__basis_8cpp_source.html#l00237">qwt_spline_basis.cpp:237</a></div></div>
<div class="ttc" id="aclass_qwt_spline_basis_html_a623c89b2080e099bac2c39c0418bfa84"><div class="ttname"><a href="class_qwt_spline_basis.html#a623c89b2080e099bac2c39c0418bfa84">QwtSplineBasis::~QwtSplineBasis</a></div><div class="ttdeci">virtual ~QwtSplineBasis()</div><div class="ttdoc">Destructor.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__basis_8cpp_source.html#l00232">qwt_spline_basis.cpp:232</a></div></div>
<div class="ttc" id="aclass_qwt_spline_basis_html_a84187686884d133830ea4c94fd57ff17"><div class="ttname"><a href="class_qwt_spline_basis.html#a84187686884d133830ea4c94fd57ff17">QwtSplineBasis::QwtSplineBasis</a></div><div class="ttdeci">QwtSplineBasis()</div><div class="ttdoc">Constructor.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__basis_8cpp_source.html#l00227">qwt_spline_basis.cpp:227</a></div></div>
<div class="ttc" id="aclass_qwt_spline_basis_html_af6be32c8dbfb01f1110504d949088b3b"><div class="ttname"><a href="class_qwt_spline_basis.html#af6be32c8dbfb01f1110504d949088b3b">QwtSplineBasis::painterPath</a></div><div class="ttdeci">virtual QPainterPath painterPath(const QPolygonF &amp;) const override</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__basis_8cpp_source.html#l00249">qwt_spline_basis.cpp:249</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_a6aa6f2c0b844e6a27284aa474c6bca7b"><div class="ttname"><a href="class_qwt_spline.html#a6aa6f2c0b844e6a27284aa474c6bca7b">QwtSpline::parametrization</a></div><div class="ttdeci">const QwtSplineParametrization * parametrization() const</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l00605">qwt_spline.cpp:605</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_a7f5f43e9e83fd23210ac528802c0496d"><div class="ttname"><a href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">QwtSpline::boundaryType</a></div><div class="ttdeci">BoundaryType boundaryType() const</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l00626">qwt_spline.cpp:626</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_ad82b1f33946d2489511f5e697a32b128"><div class="ttname"><a href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128">QwtSpline::BoundaryType</a></div><div class="ttdeci">BoundaryType</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00065">qwt_spline.h:66</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1"><div class="ttname"><a href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1">QwtSpline::ClosedPolygon</a></div><div class="ttdeci">@ ClosedPolygon</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00093">qwt_spline.h:92</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711"><div class="ttname"><a href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a></div><div class="ttdeci">@ ConditionalBoundaries</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00072">qwt_spline.h:72</a></div></div>
<div class="ttc" id="aclass_qwt_spline_parametrization_html"><div class="ttname"><a href="class_qwt_spline_parametrization.html">QwtSplineParametrization</a></div><div class="ttdoc">Curve parametrization used for a spline interpolation.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__parametrization_8h_source.html#l00044">qwt_spline_parametrization.h:45</a></div></div>
<div class="ttc" id="aclass_qwt_spline_parametrization_html_a5cd58cf9777799bec478ad524baa22f9"><div class="ttname"><a href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">QwtSplineParametrization::valueIncrement</a></div><div class="ttdeci">virtual double valueIncrement(const QPointF &amp;, const QPointF &amp;) const</div><div class="ttdoc">Calculate the parameter value increment for 2 points.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__parametrization_8cpp_source.html#l00035">qwt_spline_parametrization.cpp:35</a></div></div>
<div class="ttc" id="aclass_qwt_spline_parametrization_html_aa63256420483fa4981452127366cb48daa34d8f54e326e8964c6131287dd3e478"><div class="ttname"><a href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48daa34d8f54e326e8964c6131287dd3e478">QwtSplineParametrization::ParameterUniform</a></div><div class="ttdeci">@ ParameterUniform</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__parametrization_8h_source.html#l00072">qwt_spline_parametrization.h:72</a></div></div>
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